To determine the actual distance between Samantha's school and the park based on the map's scale, we can set up a proportion using the given information.
The scale provided is 0.5 inches = 2 miles. That means for every 0.5 inches on the map, the actual distance is 2 miles.
To find the actual distance \(d\) for the 2.75-inch distance on the map, we can set up the proportion as follows:
\[ \frac{0.5 \text{ in}}{2 \text{ miles}} = \frac{2.75 \text{ in}}{d \text{ miles}} \]
This proportion can then be used to solve for \(d\), the actual distance between the school and the park.